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Finding the Fourth Proportional to 31,559.54, 47,323.11 and 10,491.98

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Solution

The fourth proportional to 31,559.54, 47,323.11 and 10,491.98 is: 15,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,559.54 : 47,323.11 = 10,491.98 : x
  2. Step 2: Convert to fraction form
    31,559.54/47,323.11 = 10,491.98/x
  3. Step 3: Cross multiply
    31,559.54x = 47,323.11 × 10,491.98
  4. Step 4: Simplify right side
    31,559.54x = 496,513,123.66
  5. Step 5: Solve for x
    x = 496,513,123.66/31,559.54
  6. Step 6: Final answer
    x = 15,732.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.